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Finding the Third Proportional to 248.06 and 537.89

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Solution

The third proportional to 248.06 and 537.89 is: 1,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.06 : 537.89 = 537.89 : x
  2. Step 2: Convert to fraction form
    248.06/537.89 = 537.89/x
  3. Step 3: Cross multiply
    248.06x = 537.89 × 537.89
  4. Step 4: Simplify right side
    248.06x = 289,326.32
  5. Step 5: Solve for x
    x = 289,326.32/248.06
  6. Step 6: Final answer
    x = 1,166.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.